Scale Invariance Properties in the Simulated Annealing Algorithm

The Boltzmann distribution used in the steady-state analysis of the simulated annealing algorithm gives rise to several scale invariant properties. Scale invariance is first presented in the context of parallel independent processors and then extended to an abstract form based on lumping states together to form new aggregate states. These lumped or aggregate states possess all of the mathematical characteristics, forms and relationships of states (solutions) in the original problem in both first and second moments. These scale invariance properties therefore permit new ways of relating objective function values, conditional expectation values, stationary probabilities, rates of change of stationary probabilities and conditional variances. Such properties therefore provide potential applications in analysis, statistical inference and optimization. Directions for future research that take advantage of scale invariance are also discussed.     

人的全面发展观与学生党支部建设

“人的全面发展”观是马克思主义人学理论中的一个基本观点。全面发展的人是社会现代化的构成和目标，促进人的全面发展是社会主义现代化事业的目标和任务。高校学生党支部要按照人的全面发展的观点，调整党支部的工作思路，改进党支部的内部管理，形成充满活力的运行机制，使学生党支部真正成为高校学生中党的工作的主阵地。     

A two-stage parallel branch and bound algorithm for mixed integer programs

Mixed integer programming (MIP) models are extensively usedto aid strategic and tactical decision making in many businesssectors. Solving MIP models is a computationally intensive processand there is a need to develop solution approaches that enablelarger models to be solved within acceptable timeframes. Inthis paper, we describe the implementation of a two-stage parallelbranch and bound (PB & B) algorithm for MIP. In stage 1of the algorithm, a multiple heuristic search is implementedin which a number of alternative search trees are investigatedusing a forest search in the hope of finding a good solutionquickly. In stage 2, the search is reorganized so that the branchesof a chosen tree are investigated in parallel. A new heuristicis introduced, based on a best projection criterion, which evaluatesalternative B & B trees in order to choose one for investigationin stage 2 of the algorithm. The heuristic also serves as away of implementing a quality load balancing scheme for stage2 of the algorithm. The results of experimental investigationsare reported for a range of models taken from the MIPLIB libraryof benchmark problems.     

Rigidity of Branch Groups Acting on Rooted Trees

Automorphisms of groups acting faithfully on rooted trees are studied. We find conditions under which every automorphism of such a group is induced by a conjugation from the full automorphism group of the rooted tree. These results are applied to known examples such as Grigorchuk groups, Gupta–Sidki group, etc.     

井冈山斗争时期党政组织综述

井冈山斗争时期共产党的政权组织主要有湘赣边秋收起义前委、红四军军委、湘赣边特委等11个;苏维埃政府主要有茶陵县工农兵苏维埃政府、遂川县工农兵苏维埃政府、湘赣边界工农兵苏维埃政府等7个。     

Branch and win: OR tree search algorithms for solving combinatorial optimisation problems

Currently, most combinatorial optimisation problems have to be solved, if the optimum solution is sought, using general techniques to explore the space of feasible solutions and, more specifically, through exploratory enumerative procedures in trees and search graphs. We propose Branch and Win, a general formulation for understanding and synthesising the different tree search procedures that have been presented in the literature of operations research as well as in that of artificial intelligence. Several general ideas are also presented, whose application allows designing new hybrid search algorithms, in order to implement the procedure.     

模拟线性网络支路与节点故障诊断混合方法

本文所介绍的主要方法是综合支路故障诊断法和节点故障诊断法的优点来诊断模拟线性网络的故障，避免了广义逆矩阵带来的计算复杂性和需要找出有多少个故障才能计算的麻烦。利用矩阵的初等变换公式求出诊断支路的导纳矩阵，并与标准电路中的对应的元素相比较，初步找出可能为故障的支路，然后利用矩阵运算特殊性算出元件参考数，以进一步确定真正的故障支路     

树状管网技术经济计算分析

通过对目标函数(年费用折算值)W0在水力约束条件下最小值的分析计算,介绍了起点水压未知树状管网技术经济计算的方法,并求出了相应的经济水头损失hij和经济管径Dij的表达式。     

一个非线性系统动力学行为的注记

讨论参数λ＜０时非线性系统ｘｎ＋１＝λｘｎ（１－ｘｎ）的动力学行为．     

论电视文艺晚会策划的五要素

电视文艺晚会是电视艺术中综合性最强的艺术样式之一。电视文艺晚会的节目质量不高,其主要原因之一是对构成晚会的要素策划不够充分。要策划和编导一台好的电视晚会节目必须抓住晚会策划的五个要素。